Application of the Abel equation to cosmological models with and without phantoms

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The article is dedicated to a novel approach to the phantom cosmologies with scalar fields: a reduction of the Friedman-Robertson-Walker-Lemˆiatre system of equations to a single first-order O.D.E. called the Abel equation of the 1-st kind. In particular, we demonstrate how the phantomization of a classical cosmological model changes the structure of the Abel equation. In addition, we apply the proposed method to a construction of a number of exact phantom solutions.

Cosmology, scalar field, phantom models, abel equation

Короткий адрес: https://sciup.org/142241761

IDR: 142241761   |   DOI: 10.17238/issn2226-8812.2024.1.121-125

Список литературы Application of the Abel equation to cosmological models with and without phantoms

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